3334487432640 has 896 divisors, whose sum is σ = 14008104714240. Its totient is φ = 652315410432.

The previous prime is 3334487432561. The next prime is 3334487432663. The reversal of 3334487432640 is 462347844333.

It is a super-2 number, since 2×3334487432640² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 77991109 + ... + 78033851.

It is an arithmetic number, because the mean of its divisors is an integer number (15634045440).

Almost surely, 2^{3334487432640} is an apocalyptic number.

3334487432640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3334487432640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7004052357120).

3334487432640 is an abundant number, since it is smaller than the sum of its proper divisors (10673617281600).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3334487432640 is a wasteful number, since it uses less digits than its factorization.

3334487432640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42849 (or 42839 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 51.

The spelling of 3334487432640 in words is "three trillion, three hundred thirty-four billion, four hundred eighty-seven million, four hundred thirty-two thousand, six hundred forty".